| 1 | ÷ | ( | 2 | + | x | ) | = | 1 | ÷ | x | + | 1 | ÷ | ( | 1 | + | x | ) | + | 1 | ÷ | ( | x | + | 3 | ) |
| Multiply both sides of the equation by: | ( | 2 | + | x | ) | , | x |
| 1 | x | = | 1 | ( | 2 | + | x | ) | + | 1 | ÷ | ( | 1 | + | x | ) | × | ( | 2 | + | x | ) | x | + | 1 | ÷ | ( | x | + | 3 | ) | × | ( | 2 | + | x | ) | x |
| 1 | x | = | 1 | × | 2 | + | 1 | x | + | 1 | ÷ | ( | 1 | + | x | ) | × | ( | 2 | + | x | ) | x | + | 1 | ÷ | ( | x | + | 3 | ) | × | ( | 2 | + | x | ) | x |
| 1 | x | = | 2 | + | 1 | x | + | 1 | ÷ | ( | 1 | + | x | ) | × | ( | 2 | + | x | ) | x | + | 1 | ÷ | ( | x | + | 3 | ) | × | ( | 2 | + | x | ) | x |
| Multiply both sides of the equation by: | ( | 1 | + | x | ) |
| 1 | x | ( | 1 | + | x | ) | = | 2 | ( | 1 | + | x | ) | + | 1 | x | ( | 1 | + | x | ) | + | 1 | ( | 2 | + | x | ) | x | + | 1 | ÷ | ( | x | + | 3 | ) | × | ( | 2 | + | x | ) | x |
| 1 | x | × | 1 | + | 1 | x | x | = | 2 | ( | 1 | + | x | ) | + | 1 | x | ( | 1 | + | x | ) | + | 1 | ( | 2 | + | x | ) | x | + | 1 | ÷ | ( | x | + | 3 | ) | × | ( | 2 | + | x | ) | x |
| 1 | x | × | 1 | + | 1 | x | x | = | 2 | × | 1 | + | 2 | x | + | 1 | x | ( | 1 | + | x | ) | + | 1 | ( | 2 | + | x | ) | x | + | 1 | ÷ | ( | x | + | 3 | ) |
| 1 | x | + | 1 | x | x | = | 2 | + | 2 | x | + | 1 | x | ( | 1 | + | x | ) | + | 1 | ( | 2 | + | x | ) | x | + | 1 | ÷ | ( | x | + | 3 | ) | × | ( | 2 | + | x | ) |
| Multiply both sides of the equation by: | ( | x | + | 3 | ) |
| 1 | x | ( | x | + | 3 | ) | + | 1 | x | x | ( | x | + | 3 | ) | = | 2 | ( | x | + | 3 | ) | + | 2 | x | ( | x | + | 3 | ) | + | 1 | x | ( | 1 | + | x | ) | ( | x | + | 3 | ) | + | 1 | ( | 2 | + | x | ) | x |
| 1 | x | x | + | 1 | x | × | 3 | + | 1 | x | x | ( | x | + | 3 | ) | = | 2 | ( | x | + | 3 | ) | + | 2 | x | ( | x | + | 3 | ) | + | 1 | x | ( | 1 | + | x | ) | ( | x | + | 3 | ) | + | 1 | ( | 2 | + | x | ) | x |
| 1 | x | x | + | 1 | x | × | 3 | + | 1 | x | x | ( | x | + | 3 | ) | = | 2 | x | + | 2 | × | 3 | + | 2 | x | ( | x | + | 3 | ) | + | 1 | x | ( | 1 | + | x | ) | ( | x | + | 3 | ) | + | 1 |
| 1 | x | x | + | 3 | x | + | 1 | x | x | ( | x | + | 3 | ) | = | 2 | x | + | 6 | + | 2 | x | ( | x | + | 3 | ) | + | 1 | x | ( | 1 | + | x | ) | ( | x | + | 3 | ) | + | 1 | ( | 2 | + | x | ) |
| 1 | x | x | + | 3 | x | + | 1 | x | x | x | + | 1 | x | x | = | 2 | x | + | 6 | + | 2 | x | ( | x | + | 3 | ) | + | 1 | x | ( | 1 | + | x | ) | ( | x | + | 3 | ) | + | 1 | ( | 2 | + | x | ) |
| 1 | x | x | + | 3 | x | + | 1 | x | x | x | + | 1 | x | x | = | 2 | x | + | 6 | + | 2 | x | x | + | 2 | x | × | 3 | + | 1 | x | ( | 1 | + | x | ) |
| 1 | x | x | + | 3 | x | + | 1 | x | x | x | + | 3 | x | x | = | 2 | x | + | 6 | + | 2 | x | x | + | 6 | x | + | 1 | x | ( | 1 | + | x | ) | ( | x | + | 3 | ) |
| 1 | x | x | + | 3 | x | + | 1 | x | x | x | + | 3 | x | x | = | 8 | x | + | 6 | + | 2 | x | x | + | 1 | x | ( | 1 | + | x | ) | ( | x | + | 3 | ) | + | 1 | ( | 2 | + | x | ) |
| 1 | x | x | + | 3 | x | + | 1 | x | x | x | + | 3 | x | x | = | 8 | x | + | 6 | + | 2 | x | x | + | 1 | x | × | 1 | ( | x | + | 3 | ) | + | 1 | x |
| 1 | x | x | + | 3 | x | + | 1 | x | x | x | + | 3 | x | x | = | 8 | x | + | 6 | + | 2 | x | x | + | 1 | x | ( | x | + | 3 | ) | + | 1 | x | x |
| 1 | x | x | + | 3 | x | + | 1 | x | x | x | + | 3 | x | x | = | 8 | x | + | 6 | + | 2 | x | x | + | 1 | x | x | + | 1 | x | × | 3 |
| 1 | x | x | + | 3 | x | + | 1 | x | x | x | + | 3 | x | x | = | 8 | x | + | 6 | + | 2 | x | x | + | 1 | x | x | + | 3 | x | + | 1 |
| 1 | x | x | + | 3 | x | + | 1 | x | x | x | + | 3 | x | x | = | 11 | x | + | 6 | + | 2 | x | x | + | 1 | x | x | + | 1 | x | x |
| 1 | x | x | + | 3 | x | + | 1 | x | x | x | + | 3 | x | x | = | 11 | x | + | 6 | + | 2 | x | x | + | 1 | x | x | + | 1 | x | x |